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Finding the Third Proportional to 163,530 and 365,325

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Solution

The third proportional to 163,530 and 365,325 is: 816,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,530 : 365,325 = 365,325 : x
  2. Step 2: Convert to fraction form
    163,530/365,325 = 365,325/x
  3. Step 3: Cross multiply
    163,530x = 365,325 × 365,325
  4. Step 4: Simplify right side
    163,530x = 133,462,355,625
  5. Step 5: Solve for x
    x = 133,462,355,625/163,530
  6. Step 6: Final answer
    x = 816,133.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.